42207528 has 128 divisors (see below), whose sum is σ = 123120000. Its totient is φ = 11934720.

The previous prime is 42207527. The next prime is 42207533. The reversal of 42207528 is 82570224.

It is a junction number, because it is equal to n+sod(n) for n = 42207495 and 42207504.

It is not an unprimeable number, because it can be changed into a prime (42207527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283198 + ... + 283346.

It is an arithmetic number, because the mean of its divisors is an integer number (961875).

Almost surely, 2^42207528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42207528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560000).

42207528 is an abundant number, since it is smaller than the sum of its proper divisors (80912472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42207528 is a wasteful number, since it uses less digits than its factorization.

42207528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42207528 is about 6496.7321016031. The cubic root of 42207528 is about 348.1742422449.

The spelling of 42207528 in words is "forty-two million, two hundred seven thousand, five hundred twenty-eight".